If you're trying to figure out the total, it's worth considering the near identical shunters built by EE for several of the big 4 prior to BR (both LNER & LMS had them, if memory serves, but possibly the others as well). They were also exported internationally.
All four of the pre-Nationalisation companies took them, with varying components built by themselves rather than EE. The LMS had the most, and indeed had quite a number by 1939, which went to the military, not all of which returned. Most of what appeared by numbering to have come from the four companies, however, were built to their orders after nationalisation but before the Class 08 was standardised.
The Class 08 were not actually assembled by EE, but all by a number of BR workshops, using EE engines and electrics - mostly. There were however some with Blackstone or Crossley engines, and with electrics by BTH and other manufacturers as well, so some locos which looked like an EE shunter had no EE content at all. All were numbered within the mainstream series so you had to be a bit of a rivet counter to know the differences - most of the oddballs were on the Eastern Region, and all were withdrawn by the time the TOPS numbering came along so there was no need to make a distinction.
